Calculate the total concentration, in molarity, of hydroxide ions when 1,949.5 milligrams of magnesium hydroxide are completely dissolved into 0.112 L of 7.71 x10-¹ M NaOH. Assume the added solute does not contribute significantly to the total volume. Report your answer to three significant digits. 4
Calculate the total concentration, in molarity, of hydroxide ions when 1,949.5 milligrams of magnesium hydroxide are completely dissolved into 0.112 L of 7.71 x10-¹ M NaOH. Assume the added solute does not contribute significantly to the total volume. Report your answer to three significant digits. 4
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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
Transcribed Image Text:**Problem Statement:**
Calculate the total concentration, in molarity, of hydroxide ions when 1,949.5 milligrams of magnesium hydroxide are completely dissolved into 0.112 L of 7.71 x 10^-1 M NaOH. Assume the added solute does not contribute significantly to the total volume. Report your answer to three significant digits.
**Instructions for Students:**
1. **Understand the Chemical Context:** Recognize that the problem involves the dissolution of magnesium hydroxide (Mg(OH)₂) in a sodium hydroxide (NaOH) solution.
2. **Calculate the Moles of Mg(OH)₂:**
- Convert 1,949.5 mg of magnesium hydroxide to grams.
- Use the molar mass of Mg(OH)₂ to find the moles present.
3. **Compute Moles of Hydroxide Ions from Mg(OH)₂:**
- Determine the number of moles of hydroxide ions contributed by the dissolved magnesium hydroxide. (Remember that each mole of Mg(OH)₂ provides two moles of OH⁻ ions.)
4. **Calculate Hydroxide Ion Contribution from NaOH:**
- Use the molarity of the NaOH solution to determine moles of OH⁻ ions present in 0.112 L.
5. **Determine Total Hydroxide Ion Concentration:**
- Add the moles of OH⁻ ions from both sources.
- Divide by the total volume to find the molarity of hydroxide ions, considering the assumption that volume addition is negligible.
6. **Express Final Answer:**
- Report the concentration in molarity to three significant digits.
**Additional Notes:**
- **Equations to Use:**
- Molarity (M) = moles of solute / liters of solution
- Moles = mass (g) / molar mass (g/mol)
Ensure precision and use consistent units throughout calculations.
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